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Finding the Fourth Proportional to 895.01, 1,235.33 and 705.84

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Solution

The fourth proportional to 895.01, 1,235.33 and 705.84 is: 974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    895.01 : 1,235.33 = 705.84 : x
  2. Step 2: Convert to fraction form
    895.01/1,235.33 = 705.84/x
  3. Step 3: Cross multiply
    895.01x = 1,235.33 × 705.84
  4. Step 4: Simplify right side
    895.01x = 871,945.33
  5. Step 5: Solve for x
    x = 871,945.33/895.01
  6. Step 6: Final answer
    x = 974.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.